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Finding the Fourth Proportional to 518,106.89, 777,160.34 and 307,636.49

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Solution

The fourth proportional to 518,106.89, 777,160.34 and 307,636.49 is: 461,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,106.89 : 777,160.34 = 307,636.49 : x
  2. Step 2: Convert to fraction form
    518,106.89/777,160.34 = 307,636.49/x
  3. Step 3: Cross multiply
    518,106.89x = 777,160.34 × 307,636.49
  4. Step 4: Simplify right side
    518,106.89x = 239,082,877,626.62
  5. Step 5: Solve for x
    x = 239,082,877,626.62/518,106.89
  6. Step 6: Final answer
    x = 461,454.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.